A square photograph has a side length of 7n centimeters. What is the area of the photograph

Answer: (I worked left-right instead of column 1, then column 2. That's why the answers are jumbled up. 2 on my work corresponds to 4 in the pic, 3 corresponds to 2, 4 corresponds to 5, and 5 corresponds to 3.)

1. 75 degrees

2. 112 degrees

3. 89 degrees

4. x is 8, so 111 degrees

5. x is 3 in both cases, so 90 degrees each

6. x is -7, so 130 degrees

Step-by-step explanation:

1. Adjacent angles are the same measurement. Since the one labeled is 75 degrees, and the question marked angle is adjacent, it is also 75 degrees.

2. The angles shown are complementary, so they both equal 180 degrees. To find the angle marked with "?", subtract 68 from 180 for 112 degrees.

3. The angle labeled is 89 degrees. The one labeled with "?" should be the same, as it is below it, and on the same point as the labeled one. So, 89 degrees is the measurement.

4. The labeled angle is 69 degrees. 180 - 69 is 111 degrees. The equation shown now becomes 12x + 15 = 111. 111 - 15 is 96, which means 12x = 96. Divide both sides by 12 to get x equalling 8.

5. These lines are all perpendicular, so they're all 90 degrees. 29x + 3 = 90, and 31x - 3 = 90 are the new equations. I will attempt x as 3, to see if it's a true value. 29(3) is 87, and 87 + 3 is 90, so 3 is true there. 31(3) is 93, and 93 - 3 is also 90. So x is 3 in both cases

6. We already know one of the angles is 50 degrees. These are complementary, so subtract 50 from 180 to get 130 degrees. So, the equation is x + 137 = 130, which then becomes, 137 + -x = 130. 137 minus 30 is 7, so x is -7.

Answer:

1.) 75°

2.) 89°

3.) 90°  x = 3

4.) 112°

5.) 111°   x = 8

6.) 130°  x = -7

Step-by-step explanation:

1.) They are vertical so they measure the same

2.) They are corresponding angles so they equal the same

3.) They should equal up to 180.

29x + 3 = 31x - 3 (subtract 29x on both sides)

3 = 2x - 3 (add 3 on both sides)

6 = 2x (divide by 2 on both sides)

3 = x Plug in. 29(3) + 3 = 90 Both angles equal 90 degrees

4.) They should equal up to 180. 180 - 68 = 112

5.) They should equal up to 180. They are same side interior angles.                                                                             69 + 12x + 15 = 180 (collect like terms)

84 + 12x = 180 (subtract 84 on both sides)

12x = 96 (divide by 12 on both sides)

x = 8 Plug in 12(8) + 15 = 111 degrees

6.) They should equal up to 180.

x + 137 + 50 = 180 (collect like terms)

x + 187 = 180 (subtract 187 on both sides)

x = -7 Plug in -7 + 137 + 50 = 180 (collect like terms) 180= 180

Hope this helps ya!

Answer:

D

Step-by-step explanation: I just took the quiz.

Answer:

The slope is 0

Step-by-step explanation:

If the line is horizontal then it's 0

Answer:

Hi

Step-by-step explanation:

hi

hi

hi______________________

Answer:

y=3x-13

Step-by-step explanation:

if you cant read the part at the bottom it's just

( 7 , 8) ( 9 , 14)

x1 y1. x2 y2

Answer:

2x -5(x-3) = -4 +5x -29

2x-5x+15 = -4 +5x -29

-3x +15 = 5x -33

-8x= -48

x=6

Answer: 11/12

Step-by-step explanation:

7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:

7/12 + 4/12 = 11/12

11/12 is in simplest form, so that should be correct! Hope this helps! :)

Step-by-step explanation:

Hi so are we dating?????

Answer:

Option D. [tex]50^{\circ}[/tex]

Step-by-step explanation:

[tex]\angle A + \angle B + \angle C = 180[/tex] (angles of a triangle sum to [tex]180^{\circ}[/tex])

[tex]\angle A + 100 + 30 = 180[/tex]

[tex]\angle A = 50^{\circ}[/tex]

Hope this helps :)

Answer:

$8

Step-by-step explanation:

40 x .8 = 32

40 - 32 = 8

Answer:

[tex]Profit\% = 25\%[/tex]

Step-by-step explanation:

Given

Let the cost price be x

The profit be y

Required

Determine the profit percentage:

According to the question; profit =  1/4 of cost price.

So:

[tex]y =\frac{1}{4}x[/tex]

The percentage profit is then calculated as:

[tex]Profit\% = \frac{Profit}{Cost\ Price} * 100\%[/tex]

This gives:

[tex]Profit\% = \frac{Profit}{Cost\ Price} * 100\%[/tex]

Substitute values for profit and cost price

[tex]Profit\% = \frac{\frac{1}{4}x}{x} * 100\%[/tex]

[tex]Profit\% = \frac{1}{4} * 100\%[/tex]

[tex]Profit\% = \frac{1 * 100\%}{4}[/tex]

[tex]Profit\% = 25\%[/tex]

Answer:

n = 1/2

Step-by-step explanation:

4/5(1/2) - 1/5 = 2/5(1/2)

4/10 - 2/10 = 2/10

The measurement which is closest to the  height of this cylinder is: C. 48 in.

Given the following data:

To determine the measurement which is closest to the  height of this cylinder in inches:

Mathematically, the volume of a cylinder is given by the formula:

[tex]Volume = \pi r^2h[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]8478 = 15^2h\\\\8478 = 225h\\\\h=\frac{8478}{225}[/tex]

Height, h = 37.38 inches.

Closest height = 48 inches.

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Answer:

C; Acres of land, Sale price

Step-by-step explanation: I think this because no other relationship would be accurate with numbers that specific.

Answer:

c

Step-by-step explanation:

Answer:

It is a producer

Step-by-step explanation:

The seagrass IS a producer and it produces energy for the manatee without taking away other animals because it has photosynthesis  

Answer:

it rose to 5 degrees

Step-by-step explanation:

Answer:

97.50

Step-by-step explanation:

9.75(3) + 9.75(7);

9.75(3+7); 97.50

Circumference = Perimeter

Perimeter of Circle

= 550cm

Also,

Perimeter of Circle

= 2πr

Now,

2πr = 550

πr = 550/2

πr = 275

r = 275/π

r = 275/ 22/7

r = 275 × 7/22

r = 87.5cm

Answer:

First, we need to find the rate.

210 = 21x

x = 10

We need to know how much he gets in 35 hours

35x

35(10) = 350

D is your answer.

Answer:

I think it is c but I'm not sure

The two integers 143m, 143n  = a, b  have only the factor of 143 in common.....and it is the g c d of both given , two positive integers of a and b is = 1001 factors 0f 1001is = 7 x 11 x 13 So.....143 is the greatest proper divisor of 1001.This means, that we have  143( m + n)  = 143m + 143m = a + b = 1001,  where ( m + n) = 7  and,

 m + n are two positive integers whose sum = 7,

they are relatively prime to each other.

Therefore, these two integer 143m, 143n  = a, b  have only the factor of 143 in common.....and it is the g c d of both

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

Integers come in three types: Zero (0) Positive Integers (Natural numbers) Negative Integers (Additive inverse of Natural Numbers)

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes: Positive Numbers: A number is positive if it is greater than zero.

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Answer:x=9

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation:

9x + 5 = 86

9x + 5 - 5 = 86 - 5 (you subtract 5 from both sides to isolate the 9x)

9x = 81

9x/9 = 81/9 (to get the value of x, you divide both sides by 9)

x = 9

Answer:

N is 5 im pretty sure

Step-by-step explanation:

Answer: its c

Step-by-step explanation:

its c

Answer:

(-∞,+∞)

Step-by-step explanation:

The function is a continuous quadratic function

If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

The sum of n terms of a Geometric Progression ( a,ar,ar²,ar³,...,arⁿ⁻¹ ) is given by

Sₙ=a(rⁿ-1)/(r-1)

where, a=first term

and r = common ratio

In the given question ,

Ajay runs 20 miles in first week ,     ...(i)

In second week the distance is increased by 5% of the previous week .

So in second week he runs = 20+5% of 20

[tex]=20+\frac{5}{100} *20[/tex]

=20(1+5/100)

=20(105/100)

=[tex]20\times(\frac{21}{20})[/tex]          ...(ii)

In third week Ajay runs = 20(21/20) + 5% of  20(21/20)

=[tex]20(\frac{21}{20} )+\frac{5}{100} *20(\frac{21}{20} )[/tex]

=20(21/20)[1+5/100]                   ..taking 20(21/20) common

[tex]=20(\frac{21}{20} )[\frac{105}{100} ][/tex]

=20(21/20)(21/20)

=20(21/20)²              ...(iii)

Similarly in 14th week Ajay Runs = 20(21/20)¹³ .    ...(iv)

Total miles run by Ajay = miles run in first week + miles run in 2nd week +    ...+ miles run in 14th week.

Substituting the values of equation (i), (ii), (iii) and (iv) we get

Total miles run by Ajay = [tex]20+20(\frac{21}{20} )+20(\frac{21}{20} )^{2} +...+20(\frac{21}{20} )^{13}[/tex]

The above series represent a Geometric Progression with common ratio as (21/20) and first term as 20.

Substituting in the formula for Sum of Geometric Mean we get

[tex]S_{14} =20(\frac{(\frac{21}{20} )^{14} -1}{\frac{21}{20} -1} )[/tex]

S₁₄=20*((1.05)¹⁴-1)/(1.05-1)

=20*(1.9799-1)/0.05

=20*0.9799/0.05

=20*19.598

=391.96

≅391

Therefore , If Ajay keeps up his plans for 14 weeks he would have run total of 391 miles.

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Answer:

[tex]5x+6y=22.50\\x+9y=24.75[/tex]

Step-by-step explanation:

Cost of 5 drinks and 6 snacks = $22.50

Cost of 1 drink and 9 snacks = $24.75

Each drink costs the same and each snack costs the same.

Let cost of each drink = $[tex]x[/tex]

Let cost of each snack = $[tex]y[/tex]

As per the question, writing the system of equations:

[tex]5x+6y=22.50 ...... (1)\\x+9y=24.75 ...... (2)[/tex]

Let us use elimination method, to find the cost of each drink and cost of each snack.

Multiplying equation (2) by 5 and then subtracting equation (1) from it:

[tex]45y - 6y = 123.75 - 22.5 \\\Rightarrow 39y = 101.25\\\Rightarrow y \approx \$2.60[/tex]

Using equation (1):

[tex]5x+2.6 \times 6 = 22.5\\\Rightarrow 5x = 22.5 - 15.6\\\Rightarrow 5x = 6.9\\\Rightarrow x = \$1.38[/tex]

Cost of each drink = $1.38

Cost of each snack = $2.60

Answer:

J

Step-by-step explanation:

Add 38+50 to find the answer. To check you can do 50+38=88

180-88=92

180-92=88

I hope this helps.

Answer:

-7

Step-by-step explanation:

5x-5-3x=-19

2x-5=-19

2x=-14

x=-7

Answer:

(h + g)(8) = 67

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

h(t) = t² + 2t

g(t) = -t - 5

Step 2: Find (h + g)(x)

Step 3: Find (h + g)(8)